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Super Color Sic Bo

Introduction

Super Color Sic Bo is a variant of sic bo, using three dodecahedrons, as opposed to cubes. The only place to play it, to the best of my knowledge, is Internet casinos using software by Gameplay Interactive.

Rules

  1. The game uses three dodecahedrons (12-sided dice). Each side is colored either red, blue, or green, four sides each color per die.
  2. The available bets are as follows:

    Super Color Sic Bo List of Bets

    Bet Pays Description
    Small 1 Sum of 3 to 19, except 13 is a push
    Big 1 Sum of 20 to 36, except 26 is a push
    Odd 1 Sum is odd, except 13 is a push
    Even 1 Sum is even, except 26 is a push
    Single color 1 A specified color appears exactly once
    Double color 3 A specified color appears exactly twice
    Triple color 23 A specified color appears on all three dice
    Three stars 3 Each color appears once
    Straight 26 The numbers on the three dice are consecutive
    Any triple number 130 The same number appears on all three dice
    Double number 45 A specified number appears exactly twice
    Any double number 2.75 Any number appears exactly twice
    Rat 26 Total between 3 to 8
    Ox 13 Total between 9 to 11
    Cat 11 Total between 12 to 13
    Rabbit 8 Total between 14 to 15
    Dragon 7 Total between 16 to 17
    Snake 6 Total between 18 to 19
    Horse 6 Total between 20 to 21
    Goat 7 Total between 22 to 23
    Monkey 8 Total between 24 to 25
    Rooster 11 Total between 26 to 27
    Dog 13 Total between 28 to 30
    Pig 26 Total between 31 to 36

Analysis

The following table shows my analysis of the Small bet. The lower right cell shows a house edge of 3.82%.

Small

Event Pays Combinations Probability Return
3 to 19, except 13 1 798 0.461806 0.461806
13 0 66 0.038194 0.000000
20 to 36 -1 864 0.500000 -0.500000
Total 1,728 1.000000 -0.038194

The following table shows my analysis of the Big bet. The lower right cell shows a house edge of 3.82%.

Big

Event Pays Combinations Probability Return
20 to 36, except 26 1 798 0.461806 0.461806
26 0 66 0.038194 0.000000
3 to 19 -1 864 0.500000 -0.500000
Total 1,728 1.000000 -0.038194

The following table shows my analysis of the Odd bet. The lower right cell shows a house edge of 3.82%.

Odd

Event Pays Combinations Probability Return
Odd, except 13 1 798 0.461806 0.461806
13 0 66 0.038194 0.000000
Event -1 864 0.500000 -0.500000
Total 1,728 1.000000 -0.038194

The following table shows my analysis of the Even bet. The lower right cell shows a house edge of 3.82%.

Even

Event Pays Combinations Probability Return
Even, except 26 1 798 0.461806 0.461806
26 0 66 0.038194 0.000000
Odd -1 864 0.500000 -0.500000
Total 1,728 1.000000 -0.038194

The following table shows my analysis of the Single Color bet. The lower right cell shows a house edge of 11.11%.

Single Color

Event Pays Combinations Probability Return
Win 1 768 0.444444 0.444444
Loss -1 960 0.555556 -0.555556
Total 1,728 1.000000 -0.111111

The following table shows my analysis of the Specific Double Color bet. The lower right cell shows a house edge of 11.11%.

Specific Double Color

Event Pays Combinations Probability Return
Win 3 384 0.222222 0.666667
Loss -1 1,344 0.777778 -0.777778
Total 1,728 1.000000 -0.111111

The following table shows my analysis of the Specific Triple Color bet. The lower right cell shows a house edge of 11.11%.

Specific Triple Color

Event Pays Combinations Probability Return
Win 23 64 0.037037 0.851852
Loss -1 1,664 0.962963 -0.962963
Total 1,728 1.000000 -0.111111

The following table shows my analysis of the Three Stars bet. The lower right cell shows a house edge of 11.11%.

Straight

Event Pays Combinations Probability Return
Win 3 384 0.222222 0.666667
Loss -1 1,344 0.777778 -0.777778
Total 1,728 1.000000 -0.111111

The following table shows my analysis of the Straight bet. The lower right cell shows a house edge of 6.25%.

Straight

Event Pays Combinations Probability Return
Win 26 60 0.034722 0.902778
Loss -1 1,668 0.965278 -0.965278
Total 1,728 1.000000 -0.062500

The following table shows my analysis of the Any Triple Number bet. The lower right cell shows a house edge of 9.03%.

Any Triple Number

Event Pays Combinations Probability Return
Win 130 12 0.006944 0.902778
Loss -1 1,716 0.993056 -0.993056
Total 1,728 1.000000 -0.090278

The following table shows my analysis of the Specific Double Number bet. The lower right cell shows a house edge of 12.15%.

Specific Double Number

Event Pays Combinations Probability Return
Win 45 33 0.019097 0.859375
Loss -1 1,695 0.980903 -0.980903
Total 1,728 1.000000 -0.121528

The following table shows my analysis of the Any Double Number bet. The lower right cell shows a house edge of 14.06%.

Any Double Number

Event Pays Combinations Probability Return
Win 2.75 396 0.229167 0.630208
Loss -1 1,332 0.770833 -0.770833
Total 1,728 1.000000 -0.140625

I will combine all the Zodiac bets in one table below. The left column shows the expected return of each one.

Zodiac Bets

Bet Pays Combinations Probability Return
3 to 8 26 56 0.032407 -0.125000
9 to 11 13 109 0.063079 -0.116898
12 to 13 11 121 0.070023 -0.159722
14 to 15 8 166 0.096065 -0.135417
16 to 17 7 198 0.114583 -0.083333
18 to 19 6 214 0.123843 -0.133102
20 to 21 6 214 0.123843 -0.133102
22 to 23 7 198 0.114583 -0.083333
24 to 25 8 166 0.096065 -0.135417
26 to 27 11 121 0.070023 -0.159722
28 to 30 13 109 0.063079 -0.116898
31 to 36 26 56 0.032407 -0.125000

Strategy

If you must play, the best bets are a tie among all those that pay even money (small, big, even, odd) at 3.82%. This statement could also be made about conventional sic, except in that game the house edge on those bets is 2.78%.

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